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Numerical approximation of fractional burgers equation with Atangana–Baleanu derivative in Caputo sense

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  • Yadav, Swati
  • Pandey, Rajesh K.

Abstract

Burgers equation, a non-linear partial differential equation, occurs in many mathematical fields like fluid mechanics, gas dynamics, nonlinear acoustics, traffic flow, etc. This paper is based on a numerical technique using finite difference method to solve fractional Burgers equation. The fractional differential operator used here is Atangana-Baleanu fractional derivative whose kernel is a non-singular function. Some examples are considered to perform numerical simulations. The stability of the scheme is proved, and convergence is estimated numerically.

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  • Yadav, Swati & Pandey, Rajesh K., 2020. "Numerical approximation of fractional burgers equation with Atangana–Baleanu derivative in Caputo sense," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300291
    DOI: 10.1016/j.chaos.2020.109630
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    References listed on IDEAS

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    2. Oscar Martínez-Fuentes & Fidel Meléndez-Vázquez & Guillermo Fernández-Anaya & José Francisco Gómez-Aguilar, 2021. "Analysis of Fractional-Order Nonlinear Dynamic Systems with General Analytic Kernels: Lyapunov Stability and Inequalities," Mathematics, MDPI, vol. 9(17), pages 1-29, August.

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